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Sur les \(\zeta\)-fonction d’Epstein pour des opérateurs elliptiques dégénérées. (French) Zbl 0289.35036


MSC:

35J70 Degenerate elliptic equations
35P05 General topics in linear spectral theory for PDEs
Full Text: DOI

References:

[1] M. S. BAOUENDI ET C. GOULAOUIC, Regularity et theorie spectrale pour une classe d’operateurs elliptiques degneres.Arch. Rat. Mec. Anal. 34 (1969), 361-378. · Zbl 0185.34901 · doi:10.1007/BF00281438
[2] S. D. EIDELMAN, Parabolic systems. (English Translation) North-Holland Publ. Comp., Wolters-Noordhoff Publ. Comp.
[3] A. ERDLYi, W. MAGNUS, F. OBERHETTINGER ET F. G. TRICOMI, Higher transcendenta functions, Vol. 1. McGraw-Hill.
[4] S. MINAKSHISUNDARAM, ET A. PLEIJEL, Some properties of the eigenfunctions of th Laplace operator on Riemannian manifold.Canad. J. Math. 1 (1949), 242-256. · Zbl 0041.42701 · doi:10.4153/CJM-1949-021-5
[5] C. NORDIN, The asymptotic distribution of the eigenvalues of a degenerate ellipti operator. Univ. Lund, Lund Inst. Tech., 1971. · Zbl 0234.35074 · doi:10.1007/BF02384798
[6] L. SCHWARTZ, Theorie des distributions.Hermann, Paris Zentralblatt MATH: · Zbl 0962.46025
[7] N. SHIMAKURA, Quelques exemples des -fonctions dpstein pour les operateurs elliptique degeneres du second ordre. I et II. Proc. Japan Acad. Vol. 45, N^\circ 10 (1969) 866-871 et Vol. 46, N^\circ 10 (1970) 1065-1069. · Zbl 0197.40802 · doi:10.3792/pja/1195520550
[8] N. SHIMAKURA, Les functions de Green pour certains operateurs paraboliques degenere dans le demi-espace. Proc. Japan Acad. Vol. 47, N^\circ 9 (1971) 699-704. · Zbl 0234.35040 · doi:10.3792/pja/1195519852
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